Snails' Trails

Alice and Brian are snails who live on a wall and can only travel along the cracks. Alice wants to go to see Brian. How far is the shortest route along the cracks? Is there more than one way to go?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Snails' Trails
Alice and Brian
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Snails' Trails


Alice and Brian are snails. They live on a wall. Alice at A and Brian at B. They can only travel along the cement cracks. The bricks are too rough for them.

Alice wants to visit Brian.

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Snails' Trails




How far is the shortest route along the cracks?

Is there more than one way to go?

What is the longest route without going along any crack twice?